Question

find the value if a and b :-5+2√3/7+4√3 =-b√3

Answer 1

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Answer 2

Answer:

5+2√3/7+4√3=a-b√3

Step-by-step explanation:

(5+2√3)*(7-4√3) /(7+4√3)*(7-4√3) =a-b√3

5(7-4√3)+2√3(7-4√3) /(7)²-(4√3)² =a-b√3

35-20√3+14√3-8*3 /49-16*3 =a-b√3

35-20√3+14√3-24 /49-48 =a-b√3

35-24-20√3+14√3 /1 =a-b√3

11-6√3=a-b√3

Comparing both sides, we get

a=11, b=6